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Finding the Fourth Proportional to 82.98, 124.38 and 37.31

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Solution

The fourth proportional to 82.98, 124.38 and 37.31 is: 55.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.98 : 124.38 = 37.31 : x
  2. Step 2: Convert to fraction form
    82.98/124.38 = 37.31/x
  3. Step 3: Cross multiply
    82.98x = 124.38 × 37.31
  4. Step 4: Simplify right side
    82.98x = 4,640.00
  5. Step 5: Solve for x
    x = 4,640.00/82.98
  6. Step 6: Final answer
    x = 55.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.